Observational and theoretical evidence suggests that high-energy Galactic
cosmic rays are primarily accelerated by supernova remnants. If also true for
low-energy cosmic rays, the ionization rate near a supernova remnant should be
higher than in the general Galactic interstellar medium (ISM). We have searched
for H3+ absorption features in 6 sight lines which pass through molecular
material near IC 443---a well-studied case of a supernova remnant interacting
with its surrounding molecular material---for the purpose of inferring the
cosmic-ray ionization rate in the region. In 2 of the sight lines (toward ALS
8828 and HD 254577) we find large H3+ column densities, N(H3+)~3*10^14 cm^-2,
and deduce ionization rates of zeta_2~2*10^-15 s^-1, about 5 times larger than
inferred toward average diffuse molecular cloud sight lines. However, the 3
sigma upper limits found for the other 4 sight lines are consistent with
typical Galactic values. This wide range of ionization rates is likely the
result of particle acceleration and propagation effects, which predict that the
cosmic-ray spectrum and thus ionization rate should vary in and around the
remnant. While we cannot determine if the H3+ absorption arises in post-shock
(interior) or pre-shock (exterior) gas, the large inferred ionization rates
suggest that IC 443 is in fact accelerating a large population of low-energy
cosmic rays. Still, it is unclear whether this population can propagate far
enough into the ISM to account for the ionization rate inferred in diffuse
Galactic sight lines.Comment: 14 pages, 3 figures, 4 table
